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Finding the Fourth Proportional to 452.31, 677.85 and 398.85

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Solution

The fourth proportional to 452.31, 677.85 and 398.85 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 677.85 = 398.85 : x
  2. Step 2: Convert to fraction form
    452.31/677.85 = 398.85/x
  3. Step 3: Cross multiply
    452.31x = 677.85 × 398.85
  4. Step 4: Simplify right side
    452.31x = 270,360.47
  5. Step 5: Solve for x
    x = 270,360.47/452.31
  6. Step 6: Final answer
    x = 597.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.